Solution:
1. Simplify both sides of the equation.
- Left side: 2D - 5D - 8 = -3D - 2D + 6
* Combine like terms: -3D - 8
- Right side: -3D - 2D + 6
* Combine like terms: -5D + 6
2. Rewrite the simplified equation: -3D - 8 = -5D + 6
3. Move all terms involving D to one side and constants to the other side.
- Add 5D to both sides: -3D + 5D - 8 = 6
* Result: 2D - 8 = 6
4. Solve for D by isolating the variable.
- Add 8 to both sides: 2D - 8 + 8 = 6 + 8
* Result: 2D = 14
- Divide both sides by 2: \frac{2D}{2} = \frac{14}{2}
* Result: D = 7